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3 years ago

‼️ PLEASEE HELPPP ‼️

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Answer:

Step-by-step explanation:

3x - 27 = x +11

3x -27 +27 = 11 + 27

3x - x = x -x + 38

2x = 38

2x ÷ 2 = 38

X = 19

19 × 3 -27 = 30

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What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?

kykrilka [37]

Answer:

Option C $(x-1)^2+(y+1)^2=80$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center of the circle to any point on the circumference of the circle is equal to the radius of the circle

we have

(1,-1) and (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$d=\sqrt{(7+1)^{2}+(5-1)^{2}}$

$d=\sqrt{(8)^{2}+(4)^{2}}$

$d=\sqrt{80}\ units$

step 2

Find the equation of the circle in center radius form

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute

$(x-1)^2+(y+1)^2=(\sqrt{80})^2$

$(x-1)^2+(y+1)^2=80$

3 0

3 years ago

Mrs Bean bought a business at the start of 2006

Luden [163]

$A = P(1+\frac{r}{n} )^{nt} \\P = 30000\\r = .02\\n = 1 time a year\\t = 2018 - 2006\\\\A = 30000(1 + .02/1)^{1*12} \\A = \$ 38047.25\\----------------\\Solve for 'r'\\95000 = 8000(1 + r/1)^{1*5} \\95000 = 8000(1+r)^{5} \\11.875 = (1 + r)^{5}\\1.64031 = 1+r\\$

I see I did something wrong in the 2nd part, just take the first question as the right one.

4 0

3 years ago

Read 2 more answers

Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and

Olenka [21]

Answer:

add the y coordinates of the two lines and divide by 2

Step-by-step explanation:

½[0+(-12)]

½[0-12]

½[-12)

y co-ordinate of the midpoint is -6

7 0

3 years ago

If p is true and q is false, what is the truth value of p and q?<br> a. true b. false c. 0 d. 1

Dovator [93]

Answer:

i think it will be 0 .....

8 0

3 years ago

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$

Cross multiply

$120=\frac{1}{2} x$

$x=240 min$

Convert minutes to inches

$\frac{240 min}{1} * \frac{1 hr}{60 min} = 4 hr$

Final answer: 4 hours

Hope this helps!

8 0

4 years ago